In Skyrim, if you do a dual strike, where you hit both attack buttons to hit with both weapons simultaneously, do the weapon-specific perks (sword crit, mace ignore armor, axe... something) apply?

There are several combinations of this question I'm wondering about, but I'm guessing they all have the same answer. For example, does Fighting Stance work when you are dual wielding? And do Savage Strike and Dual Savagery stack?